On generalized Tanaka-Webster connection in Sasakian manifolds

Authors

  • U.C. De University of Calcutta, West Bengal, India
  • G. Ghosh Bangabasi Evening College, West Bengal, India

Keywords:

Sasakian manifolds, g-Tanaka-Webster connection, ɳ -Einstein manifold, Ricci tensor, Ricci soliton

Abstract

The object of this paper is to characterize Sasakian manifolds admitting generalized Tanaka-Webster connection. We study certain curvature conditions of Sasakian manifolds with respect to the generalized Tanaka-Webster connection. Finally, we give an example of a 5-dimensional Sasakian manifold admitting the generalized Tanaka-Webster connection to illustrate the results.

Author Biographies

U.C. De, University of Calcutta, West Bengal, India

Department of Pure Mathematics, 35, Ballygunge Circular Road, Kol- 700019

G. Ghosh, Bangabasi Evening College, West Bengal, India

Department of Mathematics, 19, Raj Kumar Chakraborty Sarani, Kol- 700009

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Published

2016-12-23

Issue

Vol. 9(58) No. 2 (2016)

Section

MATHEMATICS